Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

==== • A — Run the Phase 1 numerics for a grid of plausible (r0,δ,ν,τ)(r_0,\delta,\nu,\tau)(r0,δ,ν,τ) and output heatmaps for implied ρQAT\rho_{\rm QAT}ρQAT vs. observed baryon & critical densities (I can do this and show plots / tables). ====
• B — Do a toy cosmology: assume a simple QAT scaling law E0∝1/aE_0\propto 1/aE0∝1/a, n∝1/a3n\propto 1/a^3n∝1/a3, constant ν\nuν or ν∝1/a\nu\propto 1/aν∝1/a, and compute uQAT(t)u_{\rm QAT}(t)uQAT(t) and the implied time-dependence G(t)G(t)G(t) if you invert Friedmann.
• C — Compute the stress–energy tensor of the surface-shell + EM model and average it to produce ρQAT\rho_{\rm QAT}ρQAT and pressure pQATp_{\rm QAT}pQAT (this is the rigorous route to plug into GR). This is more technical (field-theory algebra) but doable.